YES * Step 1: TrivialSCCs YES + Considered Problem: Rules: 0. eval_wcet0_start(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb0_in(v_1,v_i_0,v_j_0,v_j_3,v_n) True (1,1) 1. eval_wcet0_bb0_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_0(v_1,v_i_0,v_j_0,v_j_3,v_n) True (?,1) 2. eval_wcet0_0(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_1(v_1,v_i_0,v_j_0,v_j_3,v_n) True (?,1) 3. eval_wcet0_1(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_2(v_1,v_i_0,v_j_0,v_j_3,v_n) True (?,1) 4. eval_wcet0_2(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) True (?,1) 5. eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb1_in(v_1,v_n,0,v_j_3,v_n) [v_n >= 1] (?,1) 6. eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [0 >= v_n] (?,1) 7. eval_wcet0_bb1_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_4(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0] 8. eval_wcet0_4(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_5(nondef_0,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0] 9. eval_wcet0_5(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 >= 0] 10. eval_wcet0_5(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && 0 >= v_1] 11. eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -2 + v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && 1 + v_j_0 >= v_n] 12. eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,1 + v_j_0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -2 + v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && -1 + v_n >= 1 + v_j_0] 13. eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_1 >= 0 && -1*v_n >= -1 + v_j_0] 14. eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,-1 + v_j_0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_1 >= 0 && -2 + v_j_0 >= -1*v_n] 15. eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb1_in(v_1,-1 + v_i_0,v_j_3,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_3 + v_n >= 0 && -1 + -1*v_j_3 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_i_0 >= 0] 16. eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_3 + v_n >= 0 && -1 + -1*v_j_3 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && 0 >= -1 + v_i_0] 17. eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_stop(v_1,v_i_0,v_j_0,v_j_3,v_n) True (?,1) Signature: {(eval_wcet0_0,5) ;(eval_wcet0_1,5) ;(eval_wcet0_2,5) ;(eval_wcet0_3,5) ;(eval_wcet0_4,5) ;(eval_wcet0_5,5) ;(eval_wcet0_bb0_in,5) ;(eval_wcet0_bb1_in,5) ;(eval_wcet0_bb2_in,5) ;(eval_wcet0_bb3_in,5) ;(eval_wcet0_bb4_in,5) ;(eval_wcet0_bb5_in,5) ;(eval_wcet0_start,5) ;(eval_wcet0_stop,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7},6->{17},7->{8},8->{9,10},9->{11,12},10->{13,14},11->{15,16} ,12->{15,16},13->{15,16},14->{15,16},15->{7},16->{17},17->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: Looptree YES + Considered Problem: Rules: 0. eval_wcet0_start(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb0_in(v_1,v_i_0,v_j_0,v_j_3,v_n) True (1,1) 1. eval_wcet0_bb0_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_0(v_1,v_i_0,v_j_0,v_j_3,v_n) True (1,1) 2. eval_wcet0_0(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_1(v_1,v_i_0,v_j_0,v_j_3,v_n) True (1,1) 3. eval_wcet0_1(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_2(v_1,v_i_0,v_j_0,v_j_3,v_n) True (1,1) 4. eval_wcet0_2(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) True (1,1) 5. eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb1_in(v_1,v_n,0,v_j_3,v_n) [v_n >= 1] (1,1) 6. eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [0 >= v_n] (1,1) 7. eval_wcet0_bb1_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_4(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0] 8. eval_wcet0_4(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_5(nondef_0,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0] 9. eval_wcet0_5(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 >= 0] 10. eval_wcet0_5(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && 0 >= v_1] 11. eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -2 + v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && 1 + v_j_0 >= v_n] 12. eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,1 + v_j_0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -2 + v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && -1 + v_n >= 1 + v_j_0] 13. eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_1 >= 0 && -1*v_n >= -1 + v_j_0] 14. eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,-1 + v_j_0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_1 >= 0 && -2 + v_j_0 >= -1*v_n] 15. eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb1_in(v_1,-1 + v_i_0,v_j_3,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_3 + v_n >= 0 && -1 + -1*v_j_3 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_i_0 >= 0] 16. eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 (1,1) && -1 + v_j_3 + v_n >= 0 && -1 + -1*v_j_3 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && 0 >= -1 + v_i_0] 17. eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_stop(v_1,v_i_0,v_j_0,v_j_3,v_n) True (1,1) Signature: {(eval_wcet0_0,5) ;(eval_wcet0_1,5) ;(eval_wcet0_2,5) ;(eval_wcet0_3,5) ;(eval_wcet0_4,5) ;(eval_wcet0_5,5) ;(eval_wcet0_bb0_in,5) ;(eval_wcet0_bb1_in,5) ;(eval_wcet0_bb2_in,5) ;(eval_wcet0_bb3_in,5) ;(eval_wcet0_bb4_in,5) ;(eval_wcet0_bb5_in,5) ;(eval_wcet0_start,5) ;(eval_wcet0_stop,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7},6->{17},7->{8},8->{9,10},9->{11,12},10->{13,14},11->{15,16} ,12->{15,16},13->{15,16},14->{15,16},15->{7},16->{17},17->{}] + Applied Processor: Looptree + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17] | `- p:[7,15,11,9,8,12,13,10,14] c: [15] YES